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Finding the Fourth Proportional to 729.62, 1,094.63 and 405.21

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Solution

The fourth proportional to 729.62, 1,094.63 and 405.21 is: 607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.62 : 1,094.63 = 405.21 : x
  2. Step 2: Convert to fraction form
    729.62/1,094.63 = 405.21/x
  3. Step 3: Cross multiply
    729.62x = 1,094.63 × 405.21
  4. Step 4: Simplify right side
    729.62x = 443,553.00
  5. Step 5: Solve for x
    x = 443,553.00/729.62
  6. Step 6: Final answer
    x = 607.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.